3906635904 has 192 divisors, whose sum is σ = 12530700000. Its totient is φ = 1160994816.

The previous prime is 3906635899. The next prime is 3906635963. The reversal of 3906635904 is 4095366093.

It is a happy number.

3906635904 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 635 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 3906635904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366847 + ... + 377345.

Almost surely, 2^3906635904 is an apocalyptic number.

3906635904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265350000).

3906635904 is an abundant number, since it is smaller than the sum of its proper divisors (8624064096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3906635904 is a wasteful number, since it uses less digits than its factorization.

3906635904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3906635904 is about 62503.0871557558. The cubic root of 3906635904 is about 1574.9531729086.

The spelling of 3906635904 in words is "three billion, nine hundred six million, six hundred thirty-five thousand, nine hundred four".